Determine convergence of ∑n=1∞(sin(1n)−1n)\sum_{n=1}^{\infty} \left( \sin\left( \frac{1}{n} \right) - \frac{1}{n} \right)∑n=1∞(sin(n1)−n1).
Converges absolutely
Converges conditionally
Diverges
Converges to π\piπ